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\name{cars}\docType{data}\alias{cars}\title{Speed and Stopping Distances of Cars}\description{The data give the speed of cars and the distances taken to stop.Note that the data were recorded in the 1920s.}\usage{data(cars)}\format{A data frame with 50 observations on 2 variables.\tabular{rlll}{[,1] \tab speed \tab numeric \tab Speed (mph)\cr[,2] \tab dist \tab numeric \tab Stopping distance (ft)}}\source{Ezekiel, M. (1930)\emph{Methods of Correlation Analysis}.Wiley.}\references{McNeil, D. R. (1977)\emph{Interactive Data Analysis}.Wiley.}\examples{require(stats)data(cars)plot(cars, xlab = "Speed (mph)", ylab = "Stopping distance (ft)",las = 1)lines(lowess(cars$speed, cars$dist, f = 2/3, iter = 3), col = "red")title(main = "cars data")plot(cars, xlab = "Speed (mph)", ylab = "Stopping distance (ft)",las = 1, log = "xy")title(main = "cars data (logarithmic scales)")lines(lowess(cars$speed, cars$dist, f = 2/3, iter = 3), col = "red")summary(fm1 <- lm(log(dist) ~ log(speed), data = cars))opar <- par(mfrow = c(2, 2), oma = c(0, 0, 1.1, 0),mar = c(4.1, 4.1, 2.1, 1.1))plot(fm1)par(opar)## An example of polynomial regressionplot(cars, xlab = "Speed (mph)", ylab = "Stopping distance (ft)",las = 1, xlim = c(0, 25))d <- seq(0, 25, len = 200)for(degree in 1:4) {fm <- lm(dist ~ poly(speed, degree), data = cars)assign(paste("cars", degree, sep="."), fm)lines(d, predict(fm, data.frame(speed=d)), col = degree)}anova(cars.1, cars.2, cars.3, cars.4)}\keyword{datasets}